Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1120a |
Isogeny class |
Conductor |
1120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-3584000 = -1 · 212 · 53 · 7 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -1 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-301,1915] |
[a1,a2,a3,a4,a6] |
Generators |
[9:4:1] |
Generators of the group modulo torsion |
j |
-738763264/875 |
j-invariant |
L |
2.6918792782377 |
L(r)(E,1)/r! |
Ω |
2.4886788096617 |
Real period |
R |
0.54082496861128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1120d1 2240x1 10080bt1 5600r1 |
Quadratic twists by: -4 8 -3 5 |